Results 21 to 30 of about 9,426 (207)
Fractional Langevin Equations with Nonlocal Integral Boundary Conditions [PDF]
Mathematics, 2019 In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems, the existence and uniqueness results of solutions are proven.
Ahmed Salem +2 more
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On a fractional differential equation with fractional boundary conditions [PDF]
Mathematics and Computational Sciences, 2023 In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations.
Yasser Khalili, Milad Yadollahzadeh
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Adeno‐associated virus serotype 2 capsid variants for improved liver‐directed gene therapy
Hepatology, EarlyView., 2022 Abstract Background and Aims Current liver‐directed gene therapies look for adeno‐associated virus (AAV) vectors with improved efficacy. With this background, capsid engineering is explored. Whereas shuffled capsid library screenings have resulted in potent liver targeting variants with one first vector in human clinical trials, modifying natural ...
Nadja Meumann +25 more
wiley +1 more source
On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation
Advances in Mathematical Physics, 2020 In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including ...
Ahmed Salem, Noorah Mshary
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Fractional Langevin equation: Overdamped, underdamped, and critical behaviors [PDF]
Physical Review E, 2008 18 pages, 15 ...
Burov, S., Barkai, E.
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International Journal of Differential Equations, 2010 We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. Langevin equation has been widely used to describe the evolution of physical phenomena in fluctuating environments.
Bashir Ahmad, Juan J. Nieto
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On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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Transient aging in fractional Brownian and Langevin-equation motion [PDF]
Physical Review E, 2013 Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin equation motion, are usually considered to be ergodic in the sense that, after an algebraic relaxation, time and ensemble averages of physical observables coincide. Recently it was demonstrated that fractional Brownian motion
Kursawe, Jochen +2 more
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On fractional Langevin equation involving two fractional orders in different intervals
Nonlinear Analysis, 2019 In this paper, we study a nonlinear Langevin equation involving two fractional orders α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness ...
Hamid Baghani, Juan J. Nieto
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From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Mathematics, 2017 The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
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